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Simplifying 3(5x + 11) = 4(x + 44) Reorder the terms: 3(11 + 5x) = 4(x + 44) (11 * 3 + 5x * 3) = 4(x + 44) (33 + 15x) = 4(x + 44) Reorder the terms: 33 + 15x = 4(44 + x) 33 + 15x = (44 * 4 + x * 4) 33 + 15x = (176 + 4x) Solving 33 + 15x = 176 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 33 + 15x + -4x = 176 + 4x + -4x Combine like terms: 15x + -4x = 11x 33 + 11x = 176 + 4x + -4x Combine like terms: 4x + -4x = 0 33 + 11x = 176 + 0 33 + 11x = 176 Add '-33' to each side of the equation. 33 + -33 + 11x = 176 + -33 Combine like terms: 33 + -33 = 0 0 + 11x = 176 + -33 11x = 176 + -33 Combine like terms: 176 + -33 = 143 11x = 143 Divide each side by '11'. x = 13 Simplifying x = 13
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